L. Narváez, A.J. Reguera, M.P. Tirado. Integral derivations on curves in positive characteristic. Advances in Mathematics 437 (2024) 109441.
A.J. Reguera. Arc spaces and wedge spaces for toric varieties. Ann. Inst. Fourier (Grenoble) 73 (2023), no. 5, 2135–2183.
A. Benito, O. Piltant, A.J. Reguera. Small irreducible components of arc spaces in
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A.J. Reguera. Corrigendum: A curve selection lemma in spaces of arcs and the image of the Nash. Compos. Math. 157 (2021), no. 3, 641-648.
O. Piltant, A.J. Reguera. Local uniformization and arc spaces. J. Pure Appl. Algebra, 222, 7, 1898-1905 (2018).
H. Mourtada, A.J. Reguera. Mather discrepancy as an embedded dimension in the space of arcs. Publ. Res. Inst. Math. Sci. 54, no. 1, 105-139 (2018).
A.J. Reguera. Coordinates at stable points of the space of arcs. J. Algebra 494, 40-76 (2018).
S. Ishii, A.J. Reguera. Singularities in arbitrary characteristic via jet schemes. “Hodge theory and L2 analysis” Higher Education Press, ALM 39, 419-449 (2017).
V. Cossart, O. Piltant, A.J. Reguera. Invariants of the graded algebras associated to divisorial valuations dominating a rational surface singularity. In: Valuation Theory in Interaction, European Math Soc., 148-166 (2014).
S. Ishii, A.J. Reguera. Singularities with the highest Mather mld. Math. Z. 275, no. 3-4, 1255-1274 (2013).
M. Lejeune-Jalabert, H. Moutarda, A.J. Reguera. Jet schemes and minimal embedded desingularization of plane branches. RACSAM 107, 145-157 (2013).
A.J. Reguera. Arcs and wedges on rational surface singularities. J. Algebra 366, 126-164 (2012).
M. Lejeune-Jalabert, A.J. Reguera. Exceptional divisors which are not uniruled belong to the image of the Nash map. J. Inst. Math. Jussieu 11 (2), 273-287 (2012).
A.J. Reguera. Arcs and wedges on rational surface singularities. C.R. Acad. Sci. Paris, Ser. I 349, 1083-1087 (2011).
A.J. Reguera. Towards the singular locus of the space of arcs. Amer. J. Math 131, n.2, 313-350 (2009).
A.J. Reguera. A Curve Selection Lemma in spaces of arcs and the image of the Nash map. Compositio Math. 142, 119-130 (2006).
A. Campillo, O. Piltant, A.J. Reguera. Cones of curves and of line bundles at infinity. J. Algebra 293, 513-542 (2005).
A.J. Reguera. Image of the Nash map in terms of wedges. C. R. Acad. Sci. Paris, Ser.I 338, 385-390 (2004).
S.D. Cutkosky, J. Herzog, A.J. Reguera. Poincaré series of resolutions of surface singularities. Transactions Am. Math. Soc. 356, N. 5, 1833-187, (2004).
M. Lejeune-Jalabert, A.J. Reguera. The Denef-Loeser series for toric surface singularities. Rev. Mat. Iberoamericana 19, 1-32, (2003).
V. Cossart, O. Piltant, A.J. Reguera. Divisorial valuations dominating rational surface singularities. Fields Institute Communications Series. Amer. Math. Soc. 32, 89-101, (2002).
A. Campillo, O. Piltant, A.J. Reguera. Cones of curves and of line bundles on surfaces associated with curves having one place at infinity. P. London Math. Soc. (3) 84, 559-580 (2002).
M. Lejeune-Jalabert, A.J. Reguera. Arcs and wedges on sandwiched surface singularities. Amer. J. Math. 121, 1191-1213, (1999).
M. Lejeune-Jalabert, A. Reguera. Arcs and wedges on sandwiched surface singularities. C. R. Acad. Sci. Paris, t. 326, Série I, 207-212, (1998).
V. Cossart, O. Piltant, A.J. Reguera-López. On isomorphisms of blowing-ups of complete ideals of a rational surface singularity. Manuscripta Math. 98, 65-73, (1999).
A.J. Reguera. Curves and proximity on rational surface singularities. J. Pure Appl. Algebra 122, 107-126, (1997).
J. García, A.J. Reguera. Polarity with respect to a foliation. Progress in Mathematics, Vol. 134. Birkhäuser Verlag. Basel, 157-170, (1996).
A.J. Reguera. Semigroups and clusters at infinity. Progress in Mathematics, Vol. 134. Birkhäuser Verlag. Basel, 339-374, (1996).
A.J. Reguera. Families of arcs on rational surface singularities. Manuscripta Math. 88, 321-333, (1995).
A. Campillo, C. Galindo, J. García, A.J. Reguera. On proximity and intersection inequalities for foliations on algebraic surfaces. Séminaire d’Algèbre et Géométrie Journées singulières et jacobiennes. Public. Inst. Fourier. Grenoble, 25-40, (1994).
A. Campillo, A.J. Reguera. Combinatorial aspects of sequences of point blowing ups. Manuscripta Math. 84, 29-46, (1994).
A.J. Reguera. Courbes et proximité sur les singularités rationnelles de surface. C. R. Acad. Sci. Paris, t. 319, Série I, 383-386, (1994).